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Simplifying 4y + 8 = 3y + 42 Reorder the terms: 8 + 4y = 3y + 42 Reorder the terms: 8 + 4y = 42 + 3y Solving 8 + 4y = 42 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 4y + -3y = 42 + 3y + -3y Combine like terms: 4y + -3y = 1y 8 + 1y = 42 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 1y = 42 + 0 8 + 1y = 42 Add '-8' to each side of the equation. 8 + -8 + 1y = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 42 + -8 1y = 42 + -8 Combine like terms: 42 + -8 = 34 1y = 34 Divide each side by '1'. y = 34 Simplifying y = 34
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